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144114431203140 = 223553107423542089
BaseRepresentation
bin100000110001001001000001…
…011110101001011101000100
3200220021012112111102122212020
4200301021001132221131010
5122342132323342000030
61230301131122523140
742232631644340226
oct4061110136513504
9626235474378766
10144114431203140
1141a126503a4482
12141b64135064b0
136254c17a72808
14278326612c416
15119db315dd510
hex8312417a9744

144114431203140 has 96 divisors (see below), whose sum is σ = 414976374771840. Its totient is φ = 37353023824896.

The previous prime is 144114431203123. The next prime is 144114431203153. The reversal of 144114431203140 is 41302134411441.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 211430785 + ... + 212111304.

It is an arithmetic number, because the mean of its divisors is an integer number (4322670570540).

Almost surely, 2144114431203140 is an apocalyptic number.

144114431203140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144114431203140 is an abundant number, since it is smaller than the sum of its proper divisors (270861943568700).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

144114431203140 is a wasteful number, since it uses less digits than its factorization.

144114431203140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423542261 (or 423542259 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

Adding to 144114431203140 its reverse (41302134411441), we get a palindrome (185416565614581).

The spelling of 144114431203140 in words is "one hundred forty-four trillion, one hundred fourteen billion, four hundred thirty-one million, two hundred three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 53 60 106 107 159 212 214 265 318 321 428 530 535 636 642 795 1060 1070 1284 1590 1605 2140 3180 3210 5671 6420 11342 17013 22684 28355 34026 56710 68052 85065 113420 170130 340260 423542089 847084178 1270626267 1694168356 2117710445 2541252534 4235420890 5082505068 6353131335 8470841780 12706262670 22447730717 25412525340 44895461434 45319003523 67343192151 89790922868 90638007046 112238653585 134686384302 135957010569 181276014092 224477307170 226595017615 269372768604 271914021138 336715960755 448954614340 453190035230 543828042276 673431921510 679785052845 906380070460 1346863843020 1359570105690 2401907186719 2719140211380 4803814373438 7205721560157 9607628746876 12009535933595 14411443120314 24019071867190 28822886240628 36028607800785 48038143734380 72057215601570 144114431203140